Questions tagged [steady-state]

For questions about steady states in systems theory, which are unchanging in time.

In systems theory, a system or a process is in a steady state if the variables (called state variables) which define the behavior of the system or the process are unchanging in time.

In continuous time, this means that for those properties of the system, the partial derivative with respect to time is zero. In discrete time, it means that the first difference of each property is zero and remains so:

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Smallest number of states to escape

There are $100$ people, each of whom own a number between $1$ and $100$ inclusive. Known that one number appear for more than $50$ times, they'll go to a switch in a random order. The last person should answer which number appear for so many…
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Constant to power of t in steady-state

I am wondering how to get the steady-state for the following Euler equation. I know that we can get rid of time in subscripts. However, here I have a constant (a) to the power of $t$. Does anyone know if there is a way to get rid of $t$ in power? Or…